Kramers-Kronig detection in the quantum regime

• URL: http://arxiv.org/abs/2407.20827v1
• Date: Tue, 30 Jul 2024 13:47:31 GMT
• Title: Kramers-Kronig detection in the quantum regime
• Authors: Thomas Pousset, Maxime Federico, Romain Alléaume, Nicolas Fabre,
• Abstract summary: We investigate the quantization of the Kramers-Kronig (KK) detection technique, initially developed for classical coherent communications. KK detection is a Gaussian measurement that allows for the estimation of both quadratures of the electric field. We study in detail how KK detection operates in the case of bosonic coherent states, pure single-mode and mixed states, as well as the nature of the phase information it measures.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We investigate the quantization of the Kramers-Kronig (KK) detection technique, initially developed for classical coherent communications. This detection method involves combining the state of interest with a local oscillator on an unbalanced beamsplitter, followed by direct detection and digital signal processing. Intensity measurements in the case of spectrally engineered fields allow for the "digital measurement" of the phase of classical and quantum fields. We show that, to the first order of the local oscillator's amplitude, KK detection is a Gaussian measurement that allows for the estimation of both quadratures of the electric field, similar to double homodyne detection. We study in detail how KK detection operates in the case of bosonic coherent states, pure single-mode and mixed states, as well as the nature of the phase information it measures. Finally, we propose an alternative spectral tomography technique for single-photon states inspired by KK detection.

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